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Finding the Fourth Proportional to 206,641.79, 285,175.14 and 114,761.49

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Solution

The fourth proportional to 206,641.79, 285,175.14 and 114,761.49 is: 158,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,641.79 : 285,175.14 = 114,761.49 : x
  2. Step 2: Convert to fraction form
    206,641.79/285,175.14 = 114,761.49/x
  3. Step 3: Cross multiply
    206,641.79x = 285,175.14 × 114,761.49
  4. Step 4: Simplify right side
    206,641.79x = 32,727,123,403.55
  5. Step 5: Solve for x
    x = 32,727,123,403.55/206,641.79
  6. Step 6: Final answer
    x = 158,376.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.